Local current distribution at large quantum dots (QDs): A self-consistent screening model
Date
2008
Authors
Krishna, P. M.
Siddiki, A.
Güven, K.
Hakioǧlu T.
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Source Title
Physica E : Low-Dimensional Systems and Nanostructures
Print ISSN
1386-9477
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Publisher
Elsevier B.V.
Volume
40
Issue
5
Pages
1142 - 1144
Language
English
Type
Article
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Abstract
We report the implementation of the self-consistent Thomas-Fermi screening theory, together with the local Ohm's law to a quantum dot system in order to obtain local current distribution within the dot and at the leads. We consider a large dot (size > 700 nm) defined by split gates, and coupled to the leads. Numerical calculations show that the non-dissipative current is confined to the incompressible strips. Due to the non-linear screening properties of the 2DES at low temperatures, this distribution is highly sensitive to external magnetic field. Our findings support the phenomenological models provided by the experimental studies so far, where the formation of the (direct) edge channels dominate the transport.
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Keywords
Edge states, Quantum dots, Quantum hall effect, Screening, Computation theory, Fermi level, Hall effect, Magnetic fields, Numerical methods, Edge states, Local current distribution, Thomas-Fermi screening theory, Semiconductor quantum dots